On quasi Cauchy double sequences in metric spaces
Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.19, sa.2, ss.265-273, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.32513/asetmj/193220082619216
- Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.265-273
- Anahtar Kelimeler: continuity, double sequences, P-convergent
- İstanbul Üniversitesi Adresli: Evet
Özet
A double sequence x ={xk,1} in a metric space ℕ is quasi-Cauchy if given an ε>0 there exists an N ϵ N such that d(xk,1,xk+1,l+1),d(xk,1,xk+1,l),d(xk,1,xk+1,l+1)<ε for k,l>N. We study continuity type properties of factorable double functions defined on a double subset E× E of X2 into X, and obtain interesting results related to compactness, uniform continuity, sequential continuity, continuity, and a newly introduced type of continuity of factorable double functions defined on a double subset E× E of X2 into X.